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Finding the Third Proportional to 180,770.63 and 345,138.75

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Solution

The third proportional to 180,770.63 and 345,138.75 is: 658,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,770.63 : 345,138.75 = 345,138.75 : x
  2. Step 2: Convert to fraction form
    180,770.63/345,138.75 = 345,138.75/x
  3. Step 3: Cross multiply
    180,770.63x = 345,138.75 × 345,138.75
  4. Step 4: Simplify right side
    180,770.63x = 119,120,756,751.56
  5. Step 5: Solve for x
    x = 119,120,756,751.56/180,770.63
  6. Step 6: Final answer
    x = 658,960.81

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.